TSTP Solution File: SEU364+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU364+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:17:54 EDT 2022
% Result : Theorem 3.38s 3.59s
% Output : Refutation 3.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU364+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 18:32:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.38/3.59 GeoParameters:
% 3.38/3.59
% 3.38/3.59 tptp_input = 1
% 3.38/3.59 tptp_output = 0
% 3.38/3.59 nonempty = 1
% 3.38/3.59 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.38/3.59 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.38/3.59
% 3.38/3.59
% 3.38/3.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.38/3.59 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.38/3.59
% 3.38/3.59 RuleSystem INPUT:
% 3.38/3.59
% 3.38/3.59 Initial Rules:
% 3.38/3.59 #0: input, references = 4, size of lhs = 0:
% 3.38/3.59 FALSE | EXISTS V0: pppp5-{T}(V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #1: input, references = 4, size of lhs = 3:
% 3.38/3.59 pppp5-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | EXISTS V3: pppp4-{T}(V0,V3,V2)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #2: input, references = 4, size of lhs = 3:
% 3.38/3.59 pppp5-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | rel_str-{T}(V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #3: input, references = 4, size of lhs = 3:
% 3.38/3.59 pppp5-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | transitive_relstr-{T}(V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #4: input, references = 3, size of lhs = 4:
% 3.38/3.59 pppp5-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), empty_carrier-{F}(V0) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #5: input, references = 4, size of lhs = 1:
% 3.38/3.59 pppp4-{F}(V0,V1,V2) | EXISTS V3: pppp3-{T}(V0,V3,V1,V2)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #6: input, references = 4, size of lhs = 1:
% 3.38/3.59 pppp4-{F}(V0,V1,V2) | finite-{T}(V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #7: input, references = 8, size of lhs = 3:
% 3.38/3.59 pppp3-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4), #-{F} V5 | EXISTS V6: pppp2-{T}(V0,V1,V2,V6,V5)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #8: input, references = 4, size of lhs = 2:
% 3.38/3.59 pppp3-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4) | element-{T}(V2,V4)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #9: input, references = 4, size of lhs = 2:
% 3.38/3.59 pppp3-{F}(V0,V1,V2,V3), P_powerset-{F}(V1,V4) | element-{T}(V1,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #10: input, references = 8, size of lhs = 3:
% 3.38/3.59 pppp2-{F}(V0,V1,V2,V3,V4), pppp0-{F}(V0,V1,V2,V3), in-{F}(V3,V4) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #11: input, references = 15, size of lhs = 1:
% 3.38/3.59 pppp2-{F}(V0,V1,V2,V3,V4) | in-{T}(V3,V4), pppp0-{T}(V0,V1,V2,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #12: input, references = 14, size of lhs = 3:
% 3.38/3.59 P_powerset-{F}(V2,V4), P_the_carrier-{F}(V0,V5), pppp0-{F}(V0,V1,V2,V3) | in-{T}(V3,V4)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #13: input, references = 4, size of lhs = 3:
% 3.38/3.59 P_powerset-{F}(V2,V4), P_the_carrier-{F}(V0,V5), pppp0-{F}(V0,V1,V2,V3) | EXISTS V6: pppp7-{T}(V0,V1,V3,V6,V5)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #14: input, references = 5, size of lhs = 6:
% 3.38/3.59 P_powerset-{F}(V2,V4), P_the_carrier-{F}(V0,V5), in-{F}(V3,V4), element-{F}(V7,V5), in-{F}(V7,V1), relstr_set_smaller-{F}(V0,V3,V7) | pppp0-{T}(V0,V1,V2,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #15: input, references = 5, size of lhs = 1:
% 3.38/3.59 pppp7-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp6-{T}(V0,V1,V3,V5,V4)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #16: input, references = 4, size of lhs = 2:
% 3.38/3.59 pppp7-{F}(V0,V1,V2,V3,V4), V3 == V2 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #17: input, references = 7, size of lhs = 1:
% 3.38/3.59 pppp6-{F}(V0,V1,V2,V3,V4) | relstr_set_smaller-{T}(V0,V2,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #18: input, references = 7, size of lhs = 1:
% 3.38/3.59 pppp6-{F}(V0,V1,V2,V3,V4) | in-{T}(V3,V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #19: input, references = 7, size of lhs = 1:
% 3.38/3.59 pppp6-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #20: input, references = 3, size of lhs = 0:
% 3.38/3.59 FALSE | EXISTS V0: pppp8-{T}(V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #21: input, references = 3, size of lhs = 2:
% 3.38/3.59 pppp8-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #22: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp8-{F}(V0) | one_sorted_str-{T}(V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #23: input, references = 3, size of lhs = 3:
% 3.38/3.59 P_the_carrier-{F}(V0,V1), one_sorted_str-{F}(V0), empty-{F}(V1) | empty_carrier-{T}(V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #24: input, references = 4, size of lhs = 3:
% 3.38/3.59 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), one_sorted_str-{F}(V0) | empty_carrier-{T}(V0), pppp28-{T}(V2)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #25: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp28-{F}(V0) | EXISTS V1: pppp9-{T}(V1,V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #26: input, references = 3, size of lhs = 2:
% 3.38/3.59 pppp9-{F}(V0,V1), empty-{F}(V0) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #27: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp9-{F}(V0,V1) | element-{T}(V0,V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #28: input, references = 3, size of lhs = 0:
% 3.38/3.59 FALSE | EXISTS V0: pppp10-{T}(V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #29: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp10-{F}(V0) | finite-{T}(V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #30: input, references = 3, size of lhs = 2:
% 3.38/3.59 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #31: input, references = 3, size of lhs = 1:
% 3.38/3.59 empty-{F}(V0) | finite-{T}(V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #32: input, references = 4, size of lhs = 1:
% 3.38/3.59 P_powerset-{F}(V0,V1) | empty-{T}(V0), pppp29-{T}(V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #33: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp29-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #34: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp11-{F}(V0,V1) | finite-{T}(V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #35: input, references = 3, size of lhs = 2:
% 3.38/3.59 pppp11-{F}(V0,V1), empty-{F}(V0) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #36: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #37: input, references = 4, size of lhs = 1:
% 3.38/3.59 P_powerset-{F}(V0,V1) | empty-{T}(V0), pppp30-{T}(V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #38: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp30-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #39: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp12-{F}(V0,V1) | finite-{T}(V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #40: input, references = 3, size of lhs = 2:
% 3.38/3.59 pppp12-{F}(V0,V1), empty-{F}(V0) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #41: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #42: input, references = 4, size of lhs = 1:
% 3.38/3.59 P_powerset-{F}(V0,V1) | empty-{T}(V0), pppp31-{T}(V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #43: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp31-{F}(V0) | EXISTS V1: pppp13-{T}(V1,V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #44: input, references = 3, size of lhs = 2:
% 3.38/3.59 pppp13-{F}(V0,V1), empty-{F}(V0) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #45: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp13-{F}(V0,V1) | element-{T}(V0,V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #46: input, references = 3, size of lhs = 1:
% 3.38/3.59 P_powerset-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V2,V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #47: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp14-{F}(V0,V1) | empty-{T}(V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #48: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp14-{F}(V0,V1) | element-{T}(V0,V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #49: input, references = 3, size of lhs = 0:
% 3.38/3.59 FALSE | EXISTS V0: pppp15-{T}(V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #50: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp15-{F}(V0) | empty-{T}(V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #51: input, references = 3, size of lhs = 0:
% 3.38/3.59 FALSE | EXISTS V0: pppp16-{T}(V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #52: input, references = 3, size of lhs = 2:
% 3.38/3.59 pppp16-{F}(V0), empty-{F}(V0) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #53: input, references = 8, size of lhs = 2:
% 3.38/3.59 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #54: input, references = 3, size of lhs = 1:
% 3.38/3.59 rel_str-{F}(V0) | one_sorted_str-{T}(V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #55: input, references = 3, size of lhs = 3:
% 3.38/3.59 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #56: input, references = 3, size of lhs = 2:
% 3.38/3.59 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #57: input, references = 4, size of lhs = 8:
% 3.38/3.59 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), transitive_relstr-{F}(V0), rel_str-{F}(V0), P_powerset-{F}(V3,V4), element-{F}(V3,V2), finite-{F}(V5), element-{F}(V5,V4) | empty_carrier-{T}(V0), pppp32-{T}(V0,V3,V1), pppp33-{T}(V0,V3,V5)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #58: input, references = 4, size of lhs = 1:
% 3.38/3.59 pppp32-{F}(V0,V1,V2) | EXISTS V3: pppp23-{T}(V0,V1,V3,V2)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #59: input, references = 5, size of lhs = 1:
% 3.38/3.59 pppp33-{F}(V0,V1,V2) | EXISTS V3: pppp24-{T}(V0,V1,V2,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #60: input, references = 11, size of lhs = 2:
% 3.38/3.59 pppp24-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1,V2,V4) | in-{T}(V4,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #61: input, references = 16, size of lhs = 2:
% 3.38/3.59 pppp24-{F}(V0,V1,V2,V3), in-{F}(V4,V3) | pppp1-{T}(V0,V1,V2,V4)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #62: input, references = 4, size of lhs = 1:
% 3.38/3.59 pppp23-{F}(V0,V1,V2,V3) | EXISTS V4: pppp22-{T}(V0,V1,V4,V2,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #63: input, references = 4, size of lhs = 1:
% 3.38/3.59 pppp23-{F}(V0,V1,V2,V3) | EXISTS V4: pppp18-{T}(V0,V1,V2,V4,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #64: input, references = 4, size of lhs = 1:
% 3.38/3.59 pppp22-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp21-{T}(V2,V5,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #65: input, references = 4, size of lhs = 1:
% 3.38/3.59 pppp22-{F}(V0,V1,V3,V3,V4) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #66: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp22-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp20-{T}(V0,V1,V2,V5,V4)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #67: input, references = 4, size of lhs = 2:
% 3.38/3.59 pppp21-{F}(V0,V1,V2), V1 == V2 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #68: input, references = 4, size of lhs = 2:
% 3.38/3.59 pppp21-{F}(V0,V1,V2), V1 == V0 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #69: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp20-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp19-{T}(V0,V1,V3,V5,V4)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #70: input, references = 3, size of lhs = 2:
% 3.38/3.59 pppp20-{F}(V0,V1,V2,V3,V4), V3 == V2 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #71: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp19-{F}(V0,V1,V2,V3,V4) | relstr_set_smaller-{T}(V0,V2,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #72: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp19-{F}(V0,V1,V2,V3,V4) | in-{T}(V3,V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #73: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp19-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #74: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp18-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp17-{T}(V0,V1,V3,V5,V4)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #75: input, references = 4, size of lhs = 2:
% 3.38/3.59 pppp18-{F}(V0,V1,V2,V3,V4), V3 == V2 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #76: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp17-{F}(V0,V1,V2,V3,V4) | relstr_set_smaller-{T}(V0,V2,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #77: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp17-{F}(V0,V1,V2,V3,V4) | in-{T}(V3,V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #78: input, references = 3, size of lhs = 1:
% 3.38/3.59 pppp17-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #79: input, references = 4, size of lhs = 3:
% 3.38/3.59 P_the_carrier-{F}(V0,V4), P_powerset-{F}(V2,V5), pppp1-{F}(V0,V1,V2,V3) | EXISTS V6: pppp26-{T}(V0,V1,V3,V6,V4)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #80: input, references = 4, size of lhs = 3:
% 3.38/3.59 P_the_carrier-{F}(V0,V4), P_powerset-{F}(V2,V5), pppp1-{F}(V0,V1,V2,V3) | EXISTS V6: pppp27-{T}(V3,V6,V5)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #81: input, references = 11, size of lhs = 6:
% 3.38/3.59 P_the_carrier-{F}(V0,V4), P_powerset-{F}(V2,V5), element-{F}(V7,V4), in-{F}(V7,V1), relstr_set_smaller-{F}(V0,V3,V7), in-{F}(V3,V5) | pppp1-{T}(V0,V1,V2,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #82: input, references = 4, size of lhs = 2:
% 3.38/3.59 pppp27-{F}(V0,V1,V2), V1 == V0 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #83: input, references = 9, size of lhs = 1:
% 3.38/3.59 pppp27-{F}(V0,V1,V2) | in-{T}(V1,V2)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #84: input, references = 8, size of lhs = 1:
% 3.38/3.59 pppp26-{F}(V0,V1,V2,V3,V4) | EXISTS V5: pppp25-{T}(V0,V1,V3,V5,V4)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #85: input, references = 4, size of lhs = 2:
% 3.38/3.59 pppp26-{F}(V0,V1,V2,V3,V4), V3 == V2 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #86: input, references = 8, size of lhs = 1:
% 3.38/3.59 pppp25-{F}(V0,V1,V2,V3,V4) | relstr_set_smaller-{T}(V0,V2,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #87: input, references = 8, size of lhs = 1:
% 3.38/3.59 pppp25-{F}(V0,V1,V2,V3,V4) | in-{T}(V3,V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #88: input, references = 8, size of lhs = 1:
% 3.38/3.59 pppp25-{F}(V0,V1,V2,V3,V4) | element-{T}(V3,V4)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #89: input, references = 6, size of lhs = 1:
% 3.38/3.59 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #90: input, references = 4, size of lhs = 1:
% 3.38/3.59 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 number of initial rules = 91
% 3.38/3.59
% 3.38/3.59 Simplifiers:
% 3.38/3.59 #91: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 transitive_relstr-{F}(V0), transitive_relstr-{F}(V1), V0 == V1 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #92: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 rel_str-{F}(V0), rel_str-{F}(V1), V0 == V1 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #93: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 relstr_set_smaller-{F}(V0,V1,V2), relstr_set_smaller-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #94: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #95: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #96: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #97: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #98: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #99: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #100: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #101: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #102: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #103: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #104: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #105: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #106: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #107: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #108: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp6-{F}(V0,V1,V2,V3,V4), pppp6-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #109: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp7-{F}(V0,V1,V2,V3,V4), pppp7-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #110: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp7-{F}(V0,V1,V2,V3,V4), pppp7-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #111: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp7-{F}(V0,V1,V2,V3,V4), pppp7-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #112: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #113: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #114: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #115: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #116: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #117: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #118: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #119: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #120: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #121: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp17-{F}(V0,V1,V2,V3,V4), pppp17-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #122: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp17-{F}(V0,V1,V2,V3,V4), pppp17-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #123: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp17-{F}(V0,V1,V2,V3,V4), pppp17-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #124: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp18-{F}(V0,V1,V2,V3,V4), pppp18-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #125: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp18-{F}(V0,V1,V2,V3,V4), pppp18-{F}(V0,V1,V7,V8,V4), V2 == V7 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #126: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp18-{F}(V0,V1,V2,V3,V4), pppp18-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #127: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp18-{F}(V0,V1,V2,V3,V4), pppp18-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #128: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp19-{F}(V0,V1,V2,V3,V4), pppp19-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #129: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp19-{F}(V0,V1,V2,V3,V4), pppp19-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #130: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp19-{F}(V0,V1,V2,V3,V4), pppp19-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #131: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp20-{F}(V0,V1,V2,V3,V4), pppp20-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #132: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp20-{F}(V0,V1,V2,V3,V4), pppp20-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #133: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp20-{F}(V0,V1,V2,V3,V4), pppp20-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #134: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #135: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp22-{F}(V0,V1,V2,V3,V4), pppp22-{F}(V0,V1,V7,V3,V4), V2 == V7 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #136: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp22-{F}(V0,V1,V2,V3,V4), pppp22-{F}(V0,V1,V7,V8,V4), V3 == V8 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #137: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp22-{F}(V0,V1,V2,V3,V4), pppp22-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #138: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp22-{F}(V0,V1,V2,V3,V4), pppp22-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #139: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #140: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #141: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp23-{F}(V0,V1,V2,V3), pppp23-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #142: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp24-{F}(V0,V1,V2,V3), pppp24-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #143: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp24-{F}(V0,V1,V2,V3), pppp24-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #144: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp25-{F}(V0,V1,V2,V3,V4), pppp25-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #145: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp25-{F}(V0,V1,V2,V3,V4), pppp25-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #146: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp25-{F}(V0,V1,V2,V3,V4), pppp25-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #147: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp26-{F}(V0,V1,V2,V3,V4), pppp26-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #148: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp26-{F}(V0,V1,V2,V3,V4), pppp26-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #149: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp26-{F}(V0,V1,V2,V3,V4), pppp26-{F}(V5,V6,V7,V8,V9), V0 == V5 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #150: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp27-{F}(V0,V1,V2), pppp27-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #151: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp32-{F}(V0,V1,V2), pppp32-{F}(V0,V4,V5), V2 == V5 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #152: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp32-{F}(V0,V1,V2), pppp32-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #153: unsound, references = 3, size of lhs = 3:
% 3.38/3.59 pppp33-{F}(V0,V1,V2), pppp33-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 number of simplifiers = 63
% 3.38/3.59
% 3.38/3.59 Learnt:
% 3.38/3.59 #159: disj( #37, input ), references = 1, size of lhs = 2:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2) | pppp30-{T}(V2)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #160: disj( #37, input ), references = 1, size of lhs = 2:
% 3.38/3.59 pppp10-{F}(V0), P_powerset-{F}(V0,V1) | pppp30-{T}(V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #161: disj( #37, input ), references = 1, size of lhs = 2:
% 3.38/3.59 pppp16-{F}(V0), P_powerset-{F}(V0,V1) | pppp30-{T}(V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #167: disj( #42, input ), references = 1, size of lhs = 2:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2) | pppp31-{T}(V2)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #168: disj( #42, input ), references = 1, size of lhs = 2:
% 3.38/3.59 pppp10-{F}(V0), P_powerset-{F}(V0,V1) | pppp31-{T}(V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #169: disj( #42, input ), references = 1, size of lhs = 2:
% 3.38/3.59 pppp16-{F}(V0), P_powerset-{F}(V0,V1) | pppp31-{T}(V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #173: disj( #32, input ), references = 1, size of lhs = 2:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2) | pppp29-{T}(V2)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #174: disj( #32, input ), references = 1, size of lhs = 2:
% 3.38/3.59 pppp10-{F}(V0), P_powerset-{F}(V0,V1) | pppp29-{T}(V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #175: disj( #32, input ), references = 1, size of lhs = 2:
% 3.38/3.59 pppp16-{F}(V0), P_powerset-{F}(V0,V1) | pppp29-{T}(V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #185: disj( #24, input ), references = 1, size of lhs = 4:
% 3.38/3.59 one_sorted_str-{F}(V0), pppp8-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | pppp28-{T}(V2)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #188: mergings( V1 == V3, V2 == V4; #184 ), references = 1, size of lhs = 4:
% 3.38/3.59 one_sorted_str-{F}(V0), pppp5-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | pppp28-{T}(V2)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #190: exists( #63, #75 ), references = 1, size of lhs = 1:
% 3.38/3.59 pppp23-{F}(V0,V1,V2,V3) | pppp18-{T}(V0,V1,V2,V2,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #192: disj( #11, input ), references = 1, size of lhs = 2:
% 3.38/3.59 in-{F}(V0,V1), pppp2-{F}(V2,V3,V4,V1,V0) | pppp0-{T}(V2,V3,V4,V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #200: exists( #64, #68 ), references = 1, size of lhs = 1:
% 3.38/3.59 pppp22-{F}(V0,V1,V2,V3,V4) | pppp21-{T}(V2,V2,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #203: exists( #62, #201 ), references = 1, size of lhs = 1:
% 3.38/3.59 pppp23-{F}(V0,V1,V2,V3) | pppp22-{T}(V0,V1,V2,V2,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #206: exists( #58, #204 ), references = 1, size of lhs = 1:
% 3.38/3.59 pppp32-{F}(V0,V1,V2) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #211: mergings( V1 == V6, V2 == V7; #207 ), references = 2, size of lhs = 9:
% 3.38/3.59 transitive_relstr-{F}(V0), rel_str-{F}(V0), pppp5-{F}(V0), finite-{F}(V1), element-{F}(V1,V2), P_powerset-{F}(V3,V2), element-{F}(V3,V4), P_the_carrier-{F}(V0,V5), P_powerset-{F}(V5,V4) | pppp33-{T}(V0,V3,V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #212: disj( #57, input, exists( #58, #204 ) ), references = 1, size of lhs = 9:
% 3.38/3.59 transitive_relstr-{F}(V0), rel_str-{F}(V0), pppp8-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_powerset-{F}(V3,V4), finite-{F}(V5), element-{F}(V5,V4) | pppp33-{T}(V0,V3,V5)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #218: disj( #11, #12+#53 ), references = 1, size of lhs = 3:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_the_carrier-{F}(V2,V3), pppp2-{F}(V2,V4,V0,V1,V5) | in-{T}(V1,V5)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #220: exists( #79, #85 ), references = 11, size of lhs = 3:
% 3.38/3.59 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V2,V3), pppp1-{F}(V0,V4,V2,V5) | pppp26-{T}(V0,V4,V5,V5,V1)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #226: exists( #80, #82 ), references = 7, size of lhs = 3:
% 3.38/3.59 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V2,V3), pppp1-{F}(V0,V4,V2,V5) | pppp27-{T}(V5,V5,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #235: disj( #11, #12+#61+#226+#83+#10 ), references = 3, size of lhs = 7:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_the_carrier-{F}(V2,V3), P_the_carrier-{F}(V4,V5), P_powerset-{F}(V6,V7), pppp24-{F}(V4,V8,V6,V1), pppp2-{F}(V2,V9,V0,V10,V7), pppp2-{F}(V2,V9,V0,V10,V11) | in-{T}(V10,V11)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #253: exists( #84, #251 ), references = 7, size of lhs = 6:
% 3.38/3.59 P_powerset-{F}(V0,V1), in-{F}(V2,V1), in-{F}(V2,V3), P_the_carrier-{F}(V4,V5), pppp2-{F}(V4,V6,V0,V2,V3), pppp26-{F}(V4,V6,V7,V2,V5) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #273: mergings( V7 == V5, V8 == V15, V0 == V9, V15 == V10; #268 ), references = 1, size of lhs = 8:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V3), pppp3-{F}(V5,V0,V2,V6), pppp24-{F}(V5,V0,V7,V3), P_powerset-{F}(V7,V8), P_the_carrier-{F}(V5,V9), pppp24-{F}(V5,V10,V4,V3) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #299: mergings( V7 == V5, V8 == V20, V9 == V13, V10 == V14, V13 == V0, V20 == V14; #292 ), references = 1, size of lhs = 10:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V3), pppp3-{F}(V5,V0,V2,V6), pppp24-{F}(V5,V7,V4,V3), P_the_carrier-{F}(V5,V8), pppp24-{F}(V5,V9,V10,V3), P_powerset-{F}(V10,V11), pppp24-{F}(V5,V0,V12,V11), P_powerset-{F}(V12,V13) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #340: mergings( V0 == V11, V4 == V12; #337 ), references = 1, size of lhs = 9:
% 3.38/3.59 in-{F}(V0,V1), P_powerset-{F}(V2,V1), in-{F}(V0,V3), P_powerset-{F}(V4,V5), pppp24-{F}(V6,V7,V2,V5), P_the_carrier-{F}(V6,V8), pppp26-{F}(V6,V7,V9,V0,V8), pppp2-{F}(V6,V10,V4,V0,V3), pppp26-{F}(V6,V10,V11,V0,V8) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #353: mergings( V7 == V17, V8 == V16, V9 == V0, V16 == V10, V0 == V20, V10 == V22; #346 ), references = 1, size of lhs = 12:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V3), pppp3-{F}(V4,V0,V2,V5), P_the_carrier-{F}(V4,V6), P_powerset-{F}(V7,V8), pppp24-{F}(V4,V9,V7,V3), P_powerset-{F}(V10,V8), pppp24-{F}(V4,V0,V11,V8), P_powerset-{F}(V11,V12), pppp24-{F}(V4,V13,V10,V3), pppp24-{F}(V4,V13,V14,V8), P_powerset-{F}(V14,V15) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #380: exists( #13, #16 ), references = 8, size of lhs = 3:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_the_carrier-{F}(V2,V3), pppp0-{F}(V2,V4,V0,V5) | pppp7-{T}(V2,V4,V5,V5,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #410: disj( #11, #12+#10 ), references = 1, size of lhs = 4:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_the_carrier-{F}(V2,V3), pppp2-{F}(V2,V4,V0,V5,V1), pppp2-{F}(V2,V4,V0,V5,V6) | in-{T}(V5,V6)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #413: mergings( V8 == V0, V7 == V9; #409 ), references = 1, size of lhs = 6:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_the_carrier-{F}(V3,V4), pppp2-{F}(V3,V5,V2,V6,V1), pppp26-{F}(V3,V5,V7,V6,V4), pppp2-{F}(V3,V8,V0,V6,V9) | in-{T}(V6,V9)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #437: exists( #84, #435 ), references = 3, size of lhs = 9:
% 3.38/3.59 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V2,V3), pppp24-{F}(V0,V4,V2,V5), P_the_carrier-{F}(V6,V7), pppp26-{F}(V6,V5,V8,V9,V7), in-{F}(V9,V10), P_powerset-{F}(V11,V10), in-{F}(V9,V12), pppp2-{F}(V6,V3,V11,V9,V12) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #461: disj( #11, #12+#81+#60+#53 ), references = 1, size of lhs = 10:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_the_carrier-{F}(V2,V3), P_the_carrier-{F}(V4,V5), element-{F}(V6,V5), relstr_set_smaller-{F}(V4,V7,V6), in-{F}(V7,V8), P_powerset-{F}(V9,V8), pppp24-{F}(V4,V1,V9,V10), in-{F}(V10,V7), pppp2-{F}(V2,V11,V0,V6,V12) | in-{T}(V6,V12)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #469: disj( #11, input ), references = 1, size of lhs = 1:
% 3.38/3.59 pppp2-{F}(V0,V1,V2,V3,V3) | pppp0-{T}(V0,V1,V2,V3)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #522: exists( #15, #516 ), references = 4, size of lhs = 7:
% 3.38/3.59 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V2,V3), in-{F}(V4,V3), pppp7-{F}(V0,V5,V6,V4,V1), pppp24-{F}(V0,V5,V2,V7), pppp2-{F}(V8,V9,V10,V4,V7), pppp0-{F}(V8,V9,V10,V4) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #525: mergings( V7 == V9, V4 == V6; #520 ), references = 4, size of lhs = 8:
% 3.38/3.59 P_the_carrier-{F}(V0,V1), in-{F}(V2,V3), P_powerset-{F}(V4,V3), in-{F}(V2,V5), P_powerset-{F}(V6,V5), pppp7-{F}(V0,V7,V8,V2,V1), pppp2-{F}(V0,V7,V6,V2,V9), pppp24-{F}(V0,V7,V4,V9) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #530: mergings( V7 == V9, V4 == V6, V0 == V15, V6 == V16; #521 ), references = 2, size of lhs = 10:
% 3.38/3.59 in-{F}(V0,V1), P_powerset-{F}(V2,V1), in-{F}(V0,V3), P_powerset-{F}(V4,V3), P_powerset-{F}(V5,V6), pppp2-{F}(V7,V6,V4,V0,V8), P_the_carrier-{F}(V7,V9), pppp24-{F}(V7,V10,V2,V8), pppp7-{F}(V7,V10,V11,V0,V9), pppp24-{F}(V7,V12,V5,V10) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #557: mergings( V7 == V0; #553 ), references = 1, size of lhs = 6:
% 3.38/3.59 P_powerset-{F}(V0,V1), in-{F}(V2,V1), P_the_carrier-{F}(V3,V4), pppp2-{F}(V3,V5,V0,V2,V6), pppp26-{F}(V3,V5,V7,V2,V4), pppp2-{F}(V3,V8,V9,V2,V6) | pppp0-{T}(V3,V8,V9,V2)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #559: mergings( V9 == V0; #554 ), references = 1, size of lhs = 9:
% 3.38/3.59 in-{F}(V0,V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V3,V4), pppp24-{F}(V5,V6,V2,V4), P_the_carrier-{F}(V5,V7), pppp26-{F}(V5,V6,V8,V0,V7), pppp2-{F}(V5,V9,V3,V0,V10), pppp26-{F}(V5,V9,V11,V0,V7), pppp2-{F}(V5,V12,V13,V0,V10) | pppp0-{T}(V5,V12,V13,V0)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #561: mergings( V11 == V0; #555 ), references = 1, size of lhs = 9:
% 3.38/3.59 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V2,V3), pppp24-{F}(V0,V4,V2,V5), P_the_carrier-{F}(V6,V7), pppp26-{F}(V6,V5,V8,V9,V7), in-{F}(V9,V10), P_powerset-{F}(V11,V10), pppp2-{F}(V6,V3,V11,V9,V12), pppp2-{F}(V6,V13,V14,V9,V12) | pppp0-{T}(V6,V13,V14,V9)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #585: exists( #84, #583 ), references = 3, size of lhs = 5:
% 3.38/3.59 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V2,V3), in-{F}(V4,V3), pppp24-{F}(V0,V5,V2,V4), pppp26-{F}(V0,V5,V6,V4,V1) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #636: mergings( V0 == V11, V4 == V12, V11 == V18, V12 == V19; #631 ), references = 1, size of lhs = 12:
% 3.38/3.59 P_powerset-{F}(V0,V1), in-{F}(V2,V1), in-{F}(V2,V3), P_powerset-{F}(V4,V3), P_powerset-{F}(V5,V6), P_powerset-{F}(V7,V8), P_the_carrier-{F}(V9,V10), pppp24-{F}(V9,V11,V7,V6), pppp24-{F}(V9,V11,V4,V2), pppp7-{F}(V9,V12,V13,V2,V10), pppp24-{F}(V9,V12,V0,V14), pppp24-{F}(V9,V15,V5,V14) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #694: disj( #11, #12+#53 ), references = 1, size of lhs = 4:
% 3.38/3.59 P_powerset-{F}(V0,V1), in-{F}(V1,V2), P_the_carrier-{F}(V3,V4), pppp2-{F}(V3,V5,V0,V2,V6) | in-{T}(V2,V6)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #754: mergings( V6 == V7, V10 == V11, V9 == V0, V0 == V15, V11 == V16; #748 ), references = 4, size of lhs = 8:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V3,V4), P_the_carrier-{F}(V5,V6), pppp2-{F}(V5,V4,V2,V7,V8), pppp24-{F}(V5,V9,V0,V8), pppp24-{F}(V5,V10,V3,V9), pppp2-{F}(V5,V11,V12,V7,V8) | pppp0-{T}(V5,V11,V12,V7)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #815: mergings( V8 == V15, V15 == V17, V10 == V11, V11 == V12; #808 ), references = 1, size of lhs = 10:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V3,V1), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V6), pppp3-{F}(V7,V5,V3,V8), P_the_carrier-{F}(V7,V9), pppp24-{F}(V7,V5,V2,V10), pppp24-{F}(V7,V11,V0,V10), pppp24-{F}(V7,V12,V4,V11) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #820: mergings( V8 == V15, V15 == V17, V10 == V11, V11 == V12; #809 ), references = 1, size of lhs = 10:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V3,V1), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V6), pppp3-{F}(V7,V5,V3,V8), P_the_carrier-{F}(V7,V9), pppp24-{F}(V7,V5,V2,V10), pppp24-{F}(V7,V11,V0,V10), pppp24-{F}(V7,V12,V4,V11) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #825: mergings( V8 == V15, V15 == V17, V10 == V11, V11 == V12; #810 ), references = 1, size of lhs = 12:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V3,V1), P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V7,V5), pppp3-{F}(V8,V5,V3,V9), P_the_carrier-{F}(V8,V10), pppp24-{F}(V8,V5,V2,V11), pppp24-{F}(V8,V12,V7,V5), pppp24-{F}(V8,V13,V0,V11), pppp24-{F}(V8,V14,V4,V13) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #833: mergings( V4 == V6, V6 == V7, V11 == V12, V12 == V13; #826 ), references = 1, size of lhs = 8:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V3,V4), pppp33-{F}(V5,V4,V2), P_powerset-{F}(V4,V6), pppp3-{F}(V5,V4,V0,V7), P_the_carrier-{F}(V5,V8), pppp24-{F}(V5,V9,V3,V4) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #838: mergings( V4 == V6, V6 == V7, V11 == V12, V12 == V13; #827 ), references = 1, size of lhs = 8:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V3,V4), pppp33-{F}(V5,V4,V2), P_powerset-{F}(V4,V6), pppp3-{F}(V5,V4,V0,V7), P_the_carrier-{F}(V5,V8), pppp24-{F}(V5,V9,V3,V4) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #843: mergings( V4 == V6, V6 == V7, V12 == V13, V13 == V14; #828 ), references = 1, size of lhs = 10:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V3,V4), pppp33-{F}(V5,V4,V2), P_powerset-{F}(V4,V6), P_powerset-{F}(V7,V4), pppp3-{F}(V5,V4,V0,V8), P_the_carrier-{F}(V5,V9), pppp24-{F}(V5,V10,V7,V4), pppp24-{F}(V5,V11,V3,V4) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #911: exists( #84, #909 ), references = 1, size of lhs = 6:
% 3.38/3.59 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V2,V3), in-{F}(V4,V3), in-{F}(V5,V4), pppp24-{F}(V0,V6,V2,V5), pppp26-{F}(V0,V6,V7,V4,V1) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #935: disj( #11, #61+#220+#585 ), references = 1, size of lhs = 6:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_the_carrier-{F}(V2,V3), pppp24-{F}(V2,V4,V0,V5), P_powerset-{F}(V6,V5), pppp24-{F}(V2,V4,V6,V7), pppp2-{F}(V8,V9,V10,V7,V5) | pppp0-{T}(V8,V9,V10,V7)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #1006: disj( #11, #380+#522 ), references = 1, size of lhs = 7:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_the_carrier-{F}(V2,V3), in-{F}(V4,V5), P_powerset-{F}(V6,V5), pppp2-{F}(V2,V7,V0,V4,V8), pppp24-{F}(V2,V7,V6,V9), pppp2-{F}(V2,V7,V0,V4,V9) | in-{T}(V4,V8)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #1007: disj( #11, #380+#525 ), references = 1, size of lhs = 9:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_the_carrier-{F}(V2,V3), in-{F}(V4,V5), P_powerset-{F}(V6,V5), in-{F}(V4,V7), P_powerset-{F}(V8,V7), pppp2-{F}(V2,V9,V0,V4,V10), pppp2-{F}(V2,V9,V8,V4,V11), pppp24-{F}(V2,V9,V6,V11) | in-{T}(V4,V10)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #1029: mergings( V13 == V0, V5 == V0, V6 == V15; #1025 ), references = 1, size of lhs = 8:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V3,V4), P_the_carrier-{F}(V5,V6), pppp24-{F}(V5,V7,V0,V8), pppp24-{F}(V5,V9,V3,V8), pppp2-{F}(V5,V9,V2,V10,V8), pppp2-{F}(V5,V11,V12,V10,V8) | pppp0-{T}(V5,V11,V12,V10)
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #1044: mergings( V10 == V15, V15 == V17, V14 == V18, V18 == V19, V0 == V7, V8 == V19; #1036 ), references = 1, size of lhs = 10:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V3), P_powerset-{F}(V5,V3), pppp3-{F}(V6,V0,V5,V7), P_the_carrier-{F}(V6,V8), pppp24-{F}(V6,V0,V4,V9), pppp24-{F}(V6,V10,V2,V9), pppp24-{F}(V6,V0,V11,V9), P_powerset-{F}(V11,V12) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #1051: mergings( V10 == V15, V15 == V17, V14 == V18, V18 == V19, V0 == V7, V8 == V19; #1037 ), references = 1, size of lhs = 10:
% 3.38/3.59 P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V3), P_powerset-{F}(V5,V3), pppp3-{F}(V6,V0,V5,V7), P_the_carrier-{F}(V6,V8), pppp24-{F}(V6,V0,V4,V9), pppp24-{F}(V6,V10,V2,V9), pppp24-{F}(V6,V0,V11,V9), P_powerset-{F}(V11,V12) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #1060: mergings( V6 == V8, V8 == V9, V9 == V14, V5 == V11, V11 == V12, V12 == V13; #1052 ), references = 2, size of lhs = 6:
% 3.38/3.59 P_powerset-{F}(V0,V1), pppp33-{F}(V2,V0,V3), P_the_carrier-{F}(V2,V4), P_powerset-{F}(V3,V5), P_powerset-{F}(V6,V5), pppp3-{F}(V2,V0,V6,V7) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #1070: mergings( V4 == V6, V2 == V10, V10 == V12; #1066 ), references = 1, size of lhs = 11:
% 3.38/3.59 transitive_relstr-{F}(V0), rel_str-{F}(V0), pppp5-{F}(V0), finite-{F}(V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V1,V4), P_powerset-{F}(V5,V4), pppp3-{F}(V0,V6,V5,V7), pppp3-{F}(V0,V6,V1,V8), pppp3-{F}(V0,V6,V9,V3) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #1073: mergings( V4 == V5; #1071 ), references = 2, size of lhs = 8:
% 3.38/3.59 transitive_relstr-{F}(V0), rel_str-{F}(V0), pppp5-{F}(V0), finite-{F}(V1), pppp4-{F}(V0,V1,V2), P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V2), P_powerset-{F}(V1,V4) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #1076: exists( #89, #1073 ), references = 1, size of lhs = 7:
% 3.38/3.59 transitive_relstr-{F}(V0), rel_str-{F}(V0), pppp5-{F}(V0), finite-{F}(V1), pppp4-{F}(V0,V1,V2), P_the_carrier-{F}(V0,V3), P_powerset-{F}(V3,V2) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #1080: mergings( V1 == V4; #1078 ), references = 1, size of lhs = 5:
% 3.38/3.59 transitive_relstr-{F}(V0), rel_str-{F}(V0), pppp5-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #1084: exists( #89, #1082 ), references = 1, size of lhs = 2:
% 3.38/3.59 pppp5-{F}(V0), P_the_carrier-{F}(V0,V1) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #1086: exists( #90, #1083 ), references = 1, size of lhs = 1:
% 3.38/3.59 pppp5-{F}(V0) | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 #1088: exists( #0, #1085 ), references = 1, size of lhs = 0:
% 3.38/3.59 FALSE | FALSE
% 3.38/3.59 (used 0 times, uses = {})
% 3.38/3.59
% 3.38/3.59 number of learnt formulas = 64
% 3.38/3.59
% 3.38/3.59
% 3.38/3.59 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.38/3.59
% 3.38/3.59 randbase = 1
%------------------------------------------------------------------------------